What is the value of the rational expression the fraction with numerator 2 x squared plus 5 x plus 9 and denominator x squared plus 2 x minus 1 when x is equal to negative 2 ?

Substitute x = −2 into the numerator: 2(−2)² + 5(−2) + 9 = 7. The denominator is (−2)² + 2(−2) − 1 = −1, so the value is 7 ÷ (−1) = −7, choice A.

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